Carbon dating will be carried out on what is believed to be part of a human skull found in woodland at Sweeney Mountain, near Oswestry.
The remains were found on Saturday by an organised shooting party.
Police are continuing to search the area, although no other bones have been discovered.
Detective Inspector Mark Bellamy said it is likely to be several weeks before the results of carbon dating are received.
It appears to be part of a human skull, believed to be that of an adult male. It is possibly many years old but until tests have been carried out we cannot be sure.
A pathologist will also examine the remains and an anthropologist is also assisting. We will be carrying out further searches of the area to establish if there are any other skeletal remains.
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Remaining generally cloudy with further locally heavy rain or showers expected through Friday morning, drier in the afternoon.
Showers will continue through Friday and may turn locally heavy with a risk of hail and thunder.